Spectral bounds of quasi-positive matrices are crucial mathematical threshold parameters in
population models that are formulated as systems of ordinary differential equations: the sign …

This book is devoted to positive linear dynamical systems appearing frequently in
mathematical models of various real-life problems. Here we present an operator theoretic …

Perturbations of Positive Semigroups with Applications is a self-contained introduction to
semigroup theory with emphasis on positive semigroups on Banach lattices and …

Abstract Let U=(U (t, s)) t≥ s≥ O be an evolution family on the half-line of bounded linear
operators on a Banach space X. We introduce operators GO, GX and IX on certain spaces of …

In most physical, chemical, biological and economic phenomena it is quite natural to
assume that the system not only depends on the present state but also on past occurrences …

We establish maximal regularity of type Lp for a parabolic evolution equation u′(t)= A (t) u
(t)+ f (t) with A (·)∈ C ([0, T], L (D (A (0)), X)) and construct the corresponding evolution family …

Well-posedness for Nonautonomous Abstract Cauchy Problems Page 1 Progress in Nonlinear
Differential Equations and Their Applications, Vol. 50, 279-293 © 2002 Birkhiiuser Verlag …

There is a striking difference between autonomous and non-autonomous linear evolution
equations. Autonomous problems are well understood in the framework of strongly …

We prove existence and uniqueness of positive solutions of an agestructured population
equation of McKendrick type with spatial diffusion in L1. The coefficients may depend on age …

This book provides an introduction to propagator theory. Propagators, or evolution families,
are two-parameter analogues of semigroups of operators. Propagators are encountered in …